Information on Result #699286
Linear OA(8167, 531480, F81, 20) (dual of [531480, 531413, 21]-code), using construction X applied to Ce(19) ⊂ Ce(9) based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(819, 39, F81, 9) (dual of [39, 30, 10]-code or 39-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8167, 265740, F81, 2, 20) (dual of [(265740, 2), 531413, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8167, 177160, F81, 3, 20) (dual of [(177160, 3), 531413, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(8167, 132870, F81, 4, 20) (dual of [(132870, 4), 531413, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(8167, 53148, F81, 20, 20) (dual of [(53148, 20), 1062893, 21]-NRT-code) | [i] | OA Folding and Stacking | |